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Of the science books in a certain supply room, 50 are on

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Of the science books in a certain supply room, 50 are on [#permalink] New post 21 Apr 2012, 20:17
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Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?

A. 81
B. 159
C. 166
D. 285
E. 324
[Reveal] Spoiler: OA

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Of the science books in a certain supply room, 50 are on [#permalink] New post 21 Apr 2012, 21:11
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boomtangboy wrote:
16. Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?

(A) 81
(B) 159
(C) 166
(D) 285
(E) 324


We can remove 80 books only from physics or from chemistry. Worst case scenario would be if we remove all books on botany, zoology, geology, 79 books on physics and 79 books on chemistry.

We would have 50(botany) + 65(zoology) + 50(geology) + 79(physics) + 79(chemistry) = 323 books and still won't have 80 books from the same science. As after this, only books on physics and chemistry will be left then any next book would become the 80th book either on physics or on chemistry.

Answer: E.

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Re: Of the science books in a certain supply room, 50 are on [#permalink] New post 22 Apr 2012, 00:15
Thanks Bunel. Very helpful response yet again!

Is this the only way to solve this?
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Re: Of the science books in a certain supply room, 50 are on [#permalink] New post 22 Apr 2012, 00:21
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shreya717 wrote:
Thanks Bunel. Very helpful response yet again!

Is this the only way to solve this?


Pretty much yes. For such kind of questions you should test worst case scenario to get the answer. Check the links in my previous post for similar questions.
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Re: Of the science books in a certain supply room, 50 are on [#permalink] New post 14 Jun 2013, 04:29
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Re: Of the science books in a certain supply room, 50 are on [#permalink] New post 04 Sep 2014, 16:29
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Re: Of the science books in a certain supply room, 50 are on [#permalink] New post 20 Jan 2015, 12:12
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boomtangboy wrote:
Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?

A. 81
B. 159
C. 166
D. 285
E. 324


Check other Worst Case Scenario Questions from our Special Questions Directory.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Of the science books in a certain supply room, 50 are on   [#permalink] 20 Jan 2015, 12:12
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